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Question: The hybridization and shape of \(Xe{F_5}^ - \) is. A) \(s{p^3}\), tetrahedron. B) \(s{p^3}\), tr...

The hybridization and shape of XeF5−Xe{F_5}^ - is.
A) sp3s{p^3}, tetrahedron.
B) sp3s{p^3}, trigonal pyramidal.
C) sp3d2s{p^3}{d^2}, trigonal bipyramidal.
D) sp3d3s{p^3}{d^3}, pentagonal planar.

Explanation

Solution

We know that, The Hybridization is that the concept in which atomic orbitals combine to make a new hybridized orbital which successively, influences molecular geometry and bonding properties.
We know that the electrons which are present at the outermost shell of an atom are called valence electrons and the valency of an electron is that the number of electrons through which atom accepts or donate to make a bond.

Complete step by step answer:
We can discover the geometry of an atom by finding the steric number of a particle. The steric number of particle is determined utilizing the equation,
Steric number =Valence electron of central atom+No.of bonded atom+Charge of compound2 = \dfrac{{{\text{Valence electron of central atom}} + {\text{No}}{\text{.of bonded atom}} + {\text{Charge of compound}}}}{2}
The steric number of XeF5−Xe{F_5}^ - can be calculated as,
Steric number =Valence electron of central atom+No.of bonded atom+Charge of compound2 = \dfrac{{{\text{Valence electron of central atom}} + {\text{No}}{\text{.of bonded atom}} + {\text{Charge of compound}}}}{2}
In case of XeF5−XeF_5^ - ,
Valence electron of central atom Xe is=8
No. of bonded atom = 5
Charge of the compound = -1
Now we can substitute the known values we get,
Steric number =8+5+12=7 = \dfrac{{8 + 5 + 1}}{2} = 7
The steric number of XeF5−Xe{F_5}^ - is Six. Number of bond pairs is five. Number of lone pairs is two.
As lone pairs are available pivotally to limit the repulsion, henceforth, the shape is planar.
The structure of XeF5−Xe{F_5}^ - is,

The sp3d3{\text{s}}{{\text{p}}^{\text{3}}}{{\text{d}}^3} hybridization:
The sp3d3{\text{s}}{{\text{p}}^{\text{3}}}{{\text{d}}^3} hybridization has 1s, 3p and 3d orbitals they undergo intermixing to form 7 identical sp3d3{\text{s}}{{\text{p}}^{\text{3}}}{{\text{d}}^3} hybrid orbitals. These six orbitals are located at the corners of a pentagonal planar. They are inclined at an angle of 72o{72^{\text{o}}} to one another. The central atoms which have sp3d3{\text{s}}{{\text{p}}^{\text{3}}}{{\text{d}}^3} hybrid orbitals forms the bonds with bond angle of 72o{72^{\text{o}}}

So, the correct answer is Option D.

Note: We have to remember that the steric number is an amount of the quantity of ligands and solitary sets encompassing the focal molecule.
Steric number=(m+n){\text{Steric number}} = \left( {m + n} \right)
Where m is the number of ligands and n is the number of lone pairs.
Example: Now we can calculate the steric number of ClF2- as,
Steric number=(2+3)=5{\text{Steric number}} = \left( {2 + 3} \right) = 5
The steric number of ClF2 - {\text{Cl}}{{\text{F}}_{\text{2}}}^{\text{ - }} is five ,which means that it is sp3d{\text{s}}{{\text{p}}^{\text{3}}}{\text{d}} hybridized, two of them are in bonding and there is lone pairs thus it adopts the linear structure with the bond angle of 180o{\text{18}}{{\text{0}}^{\text{o}}}.
The structure of ClF2 - {\text{Cl}}{{\text{F}}_{\text{2}}}^{\text{ - }} is,